Comparative studies for the fractional optimal control in transmission dynamics of West Nile virus

作     者：N. H. Sweilam O.M.Saad D. G. Mohamed 

作者机构：Department of Mathematics Faculty of Science Cairo University Giza Egypt Department of Mathematics Faculty of Science Helwan University Cairo Egypt 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2017年第10卷第7期

页      面：75-105页

核心收录：

学科分类：05[文学] 0503[文学-新闻传播学] 

主　　题：West Nile virus fractional optimal control generalized Euler method Caputo's fractional derivative Griinwald-Letnikovs definition iterative optimal controlmethod Pontryagin's maximum principle. 

摘      要：In this paper, optimal control for a novel West Nile virus （WNV） model of fractional order derivative is presented. The proposed model is governed by a system of fractional differential equations （FDEs）, where the fractional derivative is defined in the Caputo sense. An optimal control problem is formulated and studied theoretically using the Pon- tryagin maximum principle. Two numerical methods are used to study the fractional- order optimal control problem. The methods are, the iterative optimal control method （OCM） and the generalized Euler method （GEM）. Positivity, boundedness and conver- gence of the IOCM are studied. Comparative studies between the proposed methods are implemented, it is found that the IOCM is better than the GEM.